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Misc 13 - Assume chances of a patient having heart attack is 40% - Miscellaneous

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  1. Class 12
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Misc 13 Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga? Normal risk of heart attack is 40%. If we do meditation and yoga, it reduces risk by 30% i.e. risk becomes 40% × 70% = 28% Let A : Person has heart attack E1 : Person is treated with meditation & yoga E2 : Person is treated with drug Given, P(A) = 40 % = 0.40 Also, given that meditation & yoga and drug has equal probabilities P(E1) = 1﷮2﷯ , P(E2) = 1﷮2﷯ We have to find that if a person selected has an heart attack, what is the probability that the person followed meditation & yoga. i.e. P(E1|A) P(E1|A) = 𝑃 𝐸﷮1﷯﷯.𝑃(𝐴| 𝐸﷮1﷯)﷮𝑃 𝐸﷮1﷯﷯.𝑃(𝐴| 𝐸﷮1﷯)+𝑃 𝐸﷮2﷯﷯.𝑃(𝐴| 𝐸﷮2﷯) ﷯

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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